Answer:
- 4 nickels
- 60 mph
Step-by-step explanation:
1. If all were dimes, the value would be $8.00. The value is actually $0.20 less than that. Replacing a dime by a nickel decreases the value by $0.05, so there must be $0.20/$0.05 = 4 nickels.
2. The total of the two speeds is the rate of closure: (420 mi)/(4 h) = 105 mi/h. The speed of the second car is found by subtracting the speed of the first car from this total:
105 mph - 45 mph = 60 mph
We are going to define two equations where b means bagels and m will be muffins, First equation: 10*b + 4*m = 13 Second equation: 5*b + 8*m = 14 From the second equation, we can isolate b: b = (14 - 8*m)/5 In the second equation 10*(14 - 8*m)/5 + 4*m = 13 2*(14 - 8*m) + 4*m = 13 28 - 16*m + 4*m = 13 28 -13 = 16*m - 4*m 15 = 12*m m = 15/12 = 1.25 Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8 So one bagel costs $0.8 and one muffin $1.25
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.

Answer: I want to help ya, but can you write the problem as an expression?
Answer:
3x - y = 1
Step-by-step explanation:
This will be the same equation written in a different way'
The original equation is:
y = 3x - 1
0 = 3x - y - 1
3x - y = 1.